Finite element implementation of virtual work principle for magnetic or electric force and torque computation

Coulomb, Jean‐Louis; Meunier, G.

doi:10.1109/tmag.1984.1063232

Cited by 234 publications

(107 citation statements)

References 3 publications

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“…A consequence of this imaging method is that, for normal magnetized regions, the cosine terms will be zero and, for the tangential magnetized regions and longitudinal current density regions, the sine terms will be zero . After applying the imaging method, (17) to (20) can still be applied. …”

Section: B Source Term Descriptionmentioning

confidence: 99%

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General Formulation of the Electromagnetic Field Distribution in Machines and Devices Using Fourier Analysis

et al. 2010

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We present a general mesh-free description of the magnetic field distribution in various electromagnetic machines, actuators, and devices. Our method is based on transfer relations and Fourier theory, which gives the magnetic field solution for a wide class of twodimensional (2-D) boundary value problems. This technique can be applied to rotary, linear, and tubular permanent-magnet actuators, either with a slotless or slotted armature. In addition to permanent-magnet machines, this technique can be applied to any 2-D geometry with the restriction that the geometry should consist of rectangular regions. The method obtains the electromagnetic field distribution by solving the Laplace and Poisson equations for every region, together with a set of boundary conditions. Here, we compare the method with finite-element analyses for various examples and show its applicability to a wide class of geometries.

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Section: B Source Term Descriptionmentioning

confidence: 99%

“…Numerical methods require the solution for the total meshed geometry in order to obtain these secondary parameters [15]- [17].…”

Section: Introductionmentioning

confidence: 99%

General Formulation of the Electromagnetic Field Distribution in Machines and Devices Using Fourier Analysis

et al. 2010

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“…More recently the focus has been shifted to calculation of the mutual inductance and magnetic force between circular coils with lateral and angular misalignments [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Using the powerful numerical methods, such as Finite Element Method (FEM) and Boundary Element Method (BEM) [27,28], it is possible to calculate accurately and rapidly this important physical quantity. Also, this problem can be tackled by some semi-analytical methods that can considerably reduce the computational time and the enormous mathematical procedures.…”

Section: Introductionmentioning

confidence: 99%

Magnetic Force Between Inclined Circular Loops (Lorentz Approach)

Babić¹,

Akyel²

2012

PIER B

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Abstract-This paper presents a new general formula for calculating the magnetic force between inclined circular loops placed in any desired position. This formula has been derived from the Lorentz force equation. All mathematical procedures are completely described to define the coil positions that lead to a relatively easy method for calculating the magnetic force between inclined circular loops in any desired position. The presented method is easy to understand, numerically suitable and easily applicable for engineers and physicists. The obtained formula is given in its simplest form from the already existing formulas for calculating the magnetic force between inclined circular loops. We validated the new formula through a series of examples, which are presented here.

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“…The differential coefficient is taken with respect to that coordinate. As is evident in [29][30][31][32][33][34][35][36][37][38][39][40], the magnetic force may be calculated by simple differentiation in cases where a general formula for the mutual inductance is available. This formula exists in our case, and the magnetic force between the coils can be calculated with the following expression:…”

Section: Basic Expressionsmentioning

confidence: 99%

Calculation of the Mutual Inductance and the Magnetic Force Between a Thick Circular Coil of the Rectangular Cross Section and a Thin Wall Solenoid (Integro-Differential Approach)

Babić

Akyel²,

Sirois³

et al. 2011

PIER B

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Abstract-Systems that employ stimulating and implantable monitoring devices utilize inductive links, such as external and implanted coils. The calculation of the mutual inductance and the magnetic force between these coils is important for optimizing power transfer. This paper deals with an efficient and new approach for determining the mutual inductance and the magnetic force between two coaxial coils in air. The setup is comprised of a thick circular coil of the rectangular cross section and a thin wall solenoid. We use an integro-differential approach to calculate these electrical parameters. The mutual inductance and the magnetic force are obtained using the complete elliptic integrals of the first and second kind, Heuman's Lambda function and one term that has to be solved numerically. All possible regular and singular cases were solved. The results of the presented work have been verified with the filament method and previously published data.

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Finite element implementation of virtual work principle for magnetic or electric force and torque computation

Cited by 234 publications

References 3 publications

General Formulation of the Electromagnetic Field Distribution in Machines and Devices Using Fourier Analysis

General Formulation of the Electromagnetic Field Distribution in Machines and Devices Using Fourier Analysis

Magnetic Force Between Inclined Circular Loops (Lorentz Approach)

Calculation of the Mutual Inductance and the Magnetic Force Between a Thick Circular Coil of the Rectangular Cross Section and a Thin Wall Solenoid (Integro-Differential Approach)

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